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Finding the Fourth Proportional to 890,534,490.14, 1,228,799,005.62 and 509,051,079.20

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Solution

The fourth proportional to 890,534,490.14, 1,228,799,005.62 and 509,051,079.20 is: 702,411,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,534,490.14 : 1,228,799,005.62 = 509,051,079.20 : x
  2. Step 2: Convert to fraction form
    890,534,490.14/1,228,799,005.62 = 509,051,079.20/x
  3. Step 3: Cross multiply
    890,534,490.14x = 1,228,799,005.62 × 509,051,079.20
  4. Step 4: Simplify right side
    890,534,490.14x = 625,521,459,930,747,776
  5. Step 5: Solve for x
    x = 625,521,459,930,747,776/890,534,490.14
  6. Step 6: Final answer
    x = 702,411,267.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.